Question: Refer to Table 56.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Auto pistons at Wemming Chung's plant in Shanghai are

Refer to Table 56.1 - Factors for Computing

Refer to Table 56.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem. Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is diameter have been as follows: critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this Day Range R (mm) 1 2 3 4 5 Mean x (mm) 154.9 155.2 155.6 157.5 154.6 4.0 4.6 4.1 5.2 4.3 a) What is the value of ? mm (round your response to two decimal places). Definition Sample Size, n 2 3 4 5 6 7 8 9 10 12 Mean Factor, A2 1.880 1.023 0.729 0.577 0.483 0.419 0.373 0.337 0.308 0.266 Upper Range, D4 3.268 2.574 2.282 2.115 2.004 1.924 1.864 1.816 1.777 1.716 Lower Range, D3 0 0 0 0 0 0.076 0.136 0.184 0.223 0.284 Print Done a) What is the value of x? b) What is the value of R? c) What are the UCL, and LCLy, using 30 ? Plot the data. d) What are the UCL r and LCL R, using 3o? Plot the data. e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL, and LCLz

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